| x | ÷ | ( | x | − | 3 | ) | − | 1 | = | 3 | ÷ | ( | x | − | 3 | ) | × | ( | x | − | 3 | ) |
| 方程两边同时乘以: | ( | x | − | 3 | ) |
| x | − | 1 | ( | x | − | 3 | ) | = | 3 | ( | x | − | 3 | ) |
| x | − | 1 | x | + | 1 | × | 3 | = | 3 | ( | x | − | 3 | ) |
| x | − | 1 | x | + | 1 | × | 3 | = | 3 | x | − | 3 | × | 3 |
| x | − | 1 | x | + | 3 | = | 3 | x | − | 9 |
| 0 | x | + | 3 | = | 3 | x | − | 9 |
| - | 3 | x | = | - | 9 | − | 3 |
| - | 3 | x | = | - | 12 |
| 12 | = | 3 | x |
| 3 | x | = | 12 |
| x | = | 12 | ÷ | 3 |
| = | 12 | × | 1 3 |
| = | 4 | × | 1 |
| x | = | 4 |